Magnetic subperiodic groups and magnetic space groups

Litvin, D.B.

doi:10.1107/97809553602060000934

International Tables for Crystallography (2016). Vol. A. ch. 3.6, pp. 852-865
https://doi.org/10.1107/97809553602060000934

Chapter 3.6. Magnetic subperiodic groups and magnetic space groups

3.6. Magnetic subperiodic groups and magnetic space groups (pp. 852-865) | html | pdf | chapter contents |
D. B. Litvin
- 3.6.1. Introduction (p. 852) | html | pdf |
- 3.6.2. Survey of magnetic subperiodic groups and magnetic space groups (pp. 852-857) | html | pdf |
  - 3.6.2.1. Reduced magnetic superfamilies of magnetic groups (pp. 852-853) | html | pdf |
  - 3.6.2.2. Survey of magnetic point groups, magnetic subperiodic groups and magnetic space groups (pp. 853-857) | html | pdf |
    - 3.6.2.2.1. Magnetic group type serial number (p. 853) | html | pdf |
    - 3.6.2.2.2. Magnetic group type symbol (pp. 853-854) | html | pdf |
    - 3.6.2.2.3. Standard set of coset representatives (p. 854) | html | pdf |
    - 3.6.2.2.4. Opechowski–Guccione magnetic group type symbols and the standard set of coset representatives (pp. 854-856) | html | pdf |
    - 3.6.2.2.5. Symbol of the subgroup $[{\cal D}]$ of index 2 of $[{\cal F}({\cal D})]$ (pp. 856-857) | html | pdf |
- 3.6.3. Tables of properties of magnetic groups (pp. 857-863) | html | pdf |
  - 3.6.3.1. Lattice diagram (p. 857) | html | pdf |
  - 3.6.3.2. Heading (pp. 857-858) | html | pdf |
  - 3.6.3.3. Diagrams of symmetry elements and of the general positions (pp. 859-861) | html | pdf |
  - 3.6.3.4. Origin (p. 861) | html | pdf |
  - 3.6.3.5. Asymmetric unit (p. 861) | html | pdf |
  - 3.6.3.6. Symmetry operations (pp. 861-862) | html | pdf |
  - 3.6.3.7. Abbreviated headline (p. 862) | html | pdf |
  - 3.6.3.8. Generators selected (p. 862) | html | pdf |
  - 3.6.3.9. General and special positions with spins (magnetic moments) (p. 862) | html | pdf |
  - 3.6.3.10. Symmetry of special projections (pp. 862-863) | html | pdf |
- 3.6.4. Comparison of OG and BNS magnetic group type symbols (p. 863) | html | pdf |
- 3.6.5. Maximal subgroups of index ≤ 4 (pp. 863-864) | html | pdf |
- References | html | pdf |
- Figures
  - Fig. 3.6.3.1. Table of properties of the three-dimensional magnetic space group 51.13.399 P_2bm′ma (pp. 858-859) | html | pdf |
  - Fig. 3.6.3.2. Lattice diagrams of (a) the three-dimensional magnetic space group 26.1.168 $[{\cal F} = Pmc2_1]$ and (b) the three-dimensional magnetic space group 26.10.177 $[{\cal M}_R = P_{2b} m'c'2_1= {\cal F}({\cal D}) = Pmc2_1(Pca2_1)]$ (p. 858) | html | pdf |
  - Fig. 3.6.3.3. Symmetry diagram of P4₁2′2′ (p. 860) | html | pdf |
  - Fig. 3.6.3.4. General-position diagram of P4₁2′2′ (p. 860) | html | pdf |
  - Fig. 3.6.3.5. Diagrams of the magnetic space group P4₁221′ (p. 860) | html | pdf |
  - Fig. 3.6.3.6. General-position diagram of rod group 2.3.29 P2/c′11 (p. 860) | html | pdf |
- Tables
  - Table 3.6.2.1. Numbers of types of groups in the reduced magnetic superfamilies of one-, two- and three-dimensional crystallographic point groups, subperiodic groups and space groups (p. 853) | html | pdf |
  - Table 3.6.2.2. Examples of the format of the survey of magnetic groups of three-dimensional magnetic space-group types (p. 853) | html | pdf |
  - Table 3.6.3.1. Symmetry operations of magnetic space group 51.14.400 P_2bmma′ (p. 861) | html | pdf |
  - Table 3.6.3.2. General positions of magnetic space group 51.14.400 P_2bmma′ (p. 862) | html | pdf |
  - Table 3.6.4.1. Comparisons of three-dimensional OG and BNS magnetic group type symbols (p. 863) | html | pdf |

Chapter 3.6. Magnetic subperiodic groups and magnetic space groups

Contents